Search a number
-
+
431055040 = 26513103619
BaseRepresentation
bin11001101100010…
…110000011000000
31010001002212100111
4121230112003000
51340322230130
6110435001104
713452623143
oct3154260300
91101085314
10431055040
11201357039
12100439194
136b3c5870
144136a05a
1527c9a02a
hex19b160c0

431055040 has 56 divisors (see below), whose sum is σ = 1105418160. Its totient is φ = 159157248.

The previous prime is 431055013. The next prime is 431055073. The reversal of 431055040 is 40550134.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47650 + ... + 55969.

It is an arithmetic number, because the mean of its divisors is an integer number (19739610).

Almost surely, 2431055040 is an apocalyptic number.

431055040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431055040 is an abundant number, since it is smaller than the sum of its proper divisors (674363120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431055040 is a wasteful number, since it uses less digits than its factorization.

431055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103649 (or 103639 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 431055040 is about 20761.8650414648. The cubic root of 431055040 is about 755.4010354264.

The spelling of 431055040 in words is "four hundred thirty-one million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 103619 207238 414476 518095 828952 1036190 1347047 1657904 2072380 2694094 3315808 4144760 5388188 6631616 6735235 8289520 10776376 13470470 16579040 21552752 26940940 33158080 43105504 53881880 86211008 107763760 215527520 431055040